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Finding the Fourth Proportional to 3,325.34, 4,589.08 and 2,049.50

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Solution

The fourth proportional to 3,325.34, 4,589.08 and 2,049.50 is: 2,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.34 : 4,589.08 = 2,049.50 : x
  2. Step 2: Convert to fraction form
    3,325.34/4,589.08 = 2,049.50/x
  3. Step 3: Cross multiply
    3,325.34x = 4,589.08 × 2,049.50
  4. Step 4: Simplify right side
    3,325.34x = 9,405,319.46
  5. Step 5: Solve for x
    x = 9,405,319.46/3,325.34
  6. Step 6: Final answer
    x = 2,828.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.